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Finding the Fourth Proportional to 521.67, 783.32 and 473.88

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Solution

The fourth proportional to 521.67, 783.32 and 473.88 is: 711.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.67 : 783.32 = 473.88 : x
  2. Step 2: Convert to fraction form
    521.67/783.32 = 473.88/x
  3. Step 3: Cross multiply
    521.67x = 783.32 × 473.88
  4. Step 4: Simplify right side
    521.67x = 371,199.68
  5. Step 5: Solve for x
    x = 371,199.68/521.67
  6. Step 6: Final answer
    x = 711.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.